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Finding the Third Proportional to 200,866 and 295,736

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Solution

The third proportional to 200,866 and 295,736 is: 435,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,866 : 295,736 = 295,736 : x
  2. Step 2: Convert to fraction form
    200,866/295,736 = 295,736/x
  3. Step 3: Cross multiply
    200,866x = 295,736 × 295,736
  4. Step 4: Simplify right side
    200,866x = 87,459,781,696
  5. Step 5: Solve for x
    x = 87,459,781,696/200,866
  6. Step 6: Final answer
    x = 435,413.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.